| Title | Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation |
| Creator | |
| Date Issued | 2015-12-01 |
| Source Publication | Physics Essays
 |
| ISSN | 0836-1398 |
| Volume | 28Issue:4Pages:633-638 |
| Abstract | The second-order Korteweg-de Vries (sKdV) equation was introduced as a type of KdV-typed model that describes the wave propagations in a weakly nonlinear and weakly dispersive system. However, the question about the multisoliton solution still remains open. In this article, we discovered numerically that the solitons with different speeds and amplitudes seem to be almost unaffected in shapes by passing through each other (though this could cause a change in their position). Such a double-soliton phenomenon characterizes the most important feature of the equation. In addition, we present the conservation laws, Hamiltonian and Lagrangian density functions for the equation and perform the numerical computation to shed light on the existence of soliton phenomenon. |
| Keyword | Hamiltonian. KdV Second-Order kdv Soliton |
| DOI | 10.4006/0836-1398-28.4.633 |
| URL | View source |
| Language | 英语English |
| Scopus ID | 2-s2.0-84975769696 |
| Citation statistics |
Cited Times [WOS]:0
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| Document Type | Journal article |
| Identifier | https://repository.uic.edu.cn/handle/39GCC9TT/6433 |
| Collection | Beijing Normal-Hong Kong Baptist University |
| Corresponding Author | Lee，C. T. |
| Affiliation | 1.Department of Financial Mathematics,Beijing Normal University-Hong Kong,Baptist University United International College,Zhuhai, Guangdong,519085,China 2.Department of Chemistry,Simon Fraser University,Vancouver,V6B 5K3,Canada 3.Department of Physics,Shantou University,Shantou, Guangdong,515063,China |
| First Author Affilication | Beijing Normal-Hong Kong Baptist University |
| Corresponding Author Affilication | Beijing Normal-Hong Kong Baptist University |
| Recommended Citation GB/T 7714 | Lee，C. T.,Lee，C. C.,Liu，M. L. Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation[J]. Physics Essays, 2015, 28(4): 633-638. |
| APA | Lee，C. T., Lee，C. C., & Liu，M. L. (2015). Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation. Physics Essays, 28(4), 633-638. |
| MLA | Lee，C. T.,et al."Double-soliton and conservation law structures for a higher-order type of Korteweg-de Vries equation". Physics Essays 28.4(2015): 633-638. |
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